Quasi Self-dual Codes over Non-Unital Rings of Order Six
Résumé
There exist two semi-local rings of order 6 without identity for the multiplication. We classify up to coordinate permutation self-orthogonal codes of length n and size 6 n/2 over these rings (called here quasi self-dual codes or QSD) till the length n = 8. To any such code is attached canonically a Z 6-code, which, when self-dual, produces an unimodular lattice by Construction A.
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